Continuity of the four-point function of massive phi(4)**4-theory above threshold
Jan, 2007Citations per year
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Abstract:
In this paper we prove that the four-point function of massive \vp_4^4-theory is continuous as a function of its independent external momenta when posing the renormalization condition for the (physical) mass on-shell. The proof is based on integral representations derived inductively from the perturbative flow equations of the renormalization group. It closes a longstanding loophole in rigorous renormalization theory in so far as it shows the feasibility of a physical definition of the renormalized coupling.- phi**n model: 4
- n-point function: 4
- field theory: massive
- perturbation theory: higher-order
- analytic properties
- renormalization
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